Pong meets Hot Potato is what I'd call this. Nice interesting twist. I would like to be able to move the paddle a little faster or perhaps with the mouse, but then again, that would probably make it easier than it was on my first try.
Good job coming up with the bomb time changes and things. I like that the different paddle setting operates on the bomb differently. I didn't play long enough to figure it all out, but did enjoy what you put here. When I saw the characters (cartoon witches), I was expecting something different, perhaps with your art skills/ use of art, you'd incorporate characters like that in a future game of yours.